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A Queue with Two-Stage Heterogeneous input and Service with Bernoulli Schedule Server Vacation
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Gholam Hossein Shahkar   , Rahim Badamchizadeh * |
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Abstract: (5948 Views) |
| In this paper we consider a single server queue with two phase arrival and two phase services. Arrival are Poison variables with different rates. For each input, the server provides private service with exponential distribution. The rates of services are different. The policy of service is FCFS, where the server changes the king of service according to the customer in the front of queue. After the completion of each service, the server either goes for a vacation with probability (1-theta), or may continue to server the next customer with probability theta, if any. Otherwise, it remains in the system until a customer arrives. Vacation times are assumed to have exponential distribution. We obtain steady-state probability generating function for queue size distribution for each input and expected busy period. |
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| Keywords: Poisson Process, Exponential Distribution, Heterogeneous Service, Vacation with Bernoulli Schedule, Steady-state Equations, Mean Queue Size |
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Full-Text [PDF 502 kb]
(1143 Downloads)
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Type of Study: Applied |
Subject:
Reliability
Received: 2018/11/16 | Accepted: 2018/11/16 | Published: 2018/11/16
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